What is the Greatest Common Factor of 74074 and 74094?
Greatest common factor (GCF) of 74074 and 74094 is 2.
GCF(74074,74094) = 2
We will now calculate the prime factors of 74074 and 74094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74074 and 74094.
How to find the GCF of 74074 and 74094?
We will first find the prime factorization of 74074 and 74094. After we will calculate the factors of 74074 and 74094 and find the biggest common factor number .
Step-1: Prime Factorization of 74074
Prime factors of 74074 are 2, 7, 11, 13, 37. Prime factorization of 74074 in exponential form is:
74074 = 21 × 71 × 111 × 131 × 371
Step-2: Prime Factorization of 74094
Prime factors of 74094 are 2, 3, 53, 233. Prime factorization of 74094 in exponential form is:
74094 = 21 × 31 × 531 × 2331
Step-3: Factors of 74074
List of positive integer factors of 74074 that divides 74074 without a remainder.
1, 2, 7, 11, 13, 14, 22, 26, 37, 74, 77, 91, 143, 154, 182, 259, 286, 407, 481, 518, 814, 962, 1001, 2002, 2849, 3367, 5291, 5698, 6734, 10582, 37037
Step-4: Factors of 74094
List of positive integer factors of 74094 that divides 74074 without a remainder.
1, 2, 3, 6, 53, 106, 159, 233, 318, 466, 699, 1398, 12349, 24698, 37047
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74074 and 74094. The biggest common factor number is the GCF number.
So the greatest common factor 74074 and 74094 is 2.
Also check out the Least Common Multiple of 74074 and 74094
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